A Theory of Satisfiability-Preserving Proofs in SAT Solving Adrin - PowerPoint PPT Presentation

May 09, 2023 •178 likes •269 views

A Theory of Satisfiability-Preserving Proofs in SAT Solving Adrin Rebola-Pardo, Martin Suda TU Wien FMCAD Student Forum Austin, USA October 31st, 2018 Supported by FWF W1255-N23 and Microsofu Research through its PhD Programme A theory of

A Theory of Satisfiability-Preserving Proofs in SAT Solving Adrián Rebola-Pardo, Martin Suda TU Wien FMCAD Student Forum Austin, USA October 31st, 2018 Supported by FWF W1255-N23 and Microsofu Research through its PhD Programme
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1
A theory of satisfiability-preserving proofs in SAT solving Question what is the mathematical content of DRAT proofs? [Heule, yesterday] Semantics of RAT / PR introduction Spoiler: you’ve been using this all along Better understanding of satisfiability-preservation Truth-preservation under a disguise Can we generalize satisfiability-preserving techniques to model-checking? Not yet, but we’re working on it 1

Recommend

Proofs in Satisfiability Modulo Theories Clark Barrett (NYU) Leonardo de Moura (Microsoft

Proofs in Satisfiability Modulo Theories Clark Barrett (NYU) Leonardo de Moura (Microsoft Research) Pascal Fontaine (Inria, Loria, U. Lorraine) APPA: All about Proofs, Proofs for All X . X July 18, 2014 July 18, 2014 1 / 41 An

910 views • 76 slides

Proofs in Conflict-Driven Theory Combination Maria Paola Bonacina, Stphane Graham-Lengrand, and

Proofs in Conflict-Driven Theory Combination Maria Paola Bonacina, Stphane Graham-Lengrand, and Natarajan Shankar CPP2018, 9th January 2018 1/30 Context: Satisfiability Modulo Theories (SMT) CDCL (Conflict-Driven Clause Learning)

1.57k views • 122 slides

Constructive Proofs and Program Extraction Christoph Kreitz 1. Type Theory vs. Set Theory 2.

Constructive Proofs and Program Extraction Christoph Kreitz 1. Type Theory vs. Set Theory 2. Overview of the Nuprl System 3. Proofs of the Integer Square Root Problem What distinguishes Type Theory from Set Theory? n r r 2 n

800 views • 42 slides

Proofs for Satisfiability Problems Marijn J.H. Heule Joint work with Armin Biere X . X ,

Proofs for Satisfiability Problems Marijn J.H. Heule Joint work with Armin Biere X . X , July 18, 2014 1/32 Outline Introduction Proof Systems Proof Search Proof Formats Proof Production Proof Consumption Applications Conclusions

574 views • 36 slides

DRAT-trim: Efficient Checking and Trimming Using Expressive Clausal Proofs Nathan Wetzler

DRAT-trim: Efficient Checking and Trimming Using Expressive Clausal Proofs Nathan Wetzler Marijn J.H. Heule Warren A. Hunt, Jr. The University of Texas at Austin Theory and Applications of Satisfiability Solving (SAT)

531 views • 33 slides

Recursion and Induction: Boolean Satisfiability; Davis-Putnam Procedure Greg Plaxton Theory in

Recursion and Induction: Boolean Satisfiability; Davis-Putnam Procedure Greg Plaxton Theory in Programming Practice, Fall 2005 Department of Computer Science University of Texas at Austin Program Design: Boolean Satisfiability In this

173 views • 5 slides

Mycielski graphs and PR proofs Emre Yolcu Xinyu Wu Marijn J. H. Heule 23rd International

Mycielski graphs and PR proofs Emre Yolcu Xinyu Wu Marijn J. H. Heule 23rd International Conference on Theory and Applications of Satisfiability Testing eyolcu@cs.cmu.edu 1 / 29 Problem Mycielski graphs: Triangle-free graphs M k with

963 views • 64 slides

Provisions Privacy-preserving proofs of solvency for Bitcoin exchanges Real World Crypto 2016

Provisions Privacy-preserving proofs of solvency for Bitcoin exchanges Real World Crypto 2016 eprint.iacr.org/2015/1008.pdf github.com/bbuenz/provisions Jeremy Clark Dan Boneh Gaby Dagher Benedikt Bnz Joseph Bonneau Many users use Bitcoin

768 views • 28 slides

SMT: Satisfiability Modulo Theories Ranjit Jhala, UC San Diego April 9, 2013 Decision Procedures

SMT: Satisfiability Modulo Theories Ranjit Jhala, UC San Diego April 9, 2013 Decision Procedures Last Time Propositional Logic Today 1. Combining SAT and Theory Solvers 2. Theory Solvers Theory of Equality Theory of Uninterpreted

1.14k views • 72 slides

A Survey of Satisfiability Modulo Theory (for mathematicians) David Monniaux VERIMAG GNCS,

A Survey of Satisfiability Modulo Theory (for mathematicians) David Monniaux VERIMAG GNCS, Pescara, February 10, 2017 David Monniaux (VERIMAG) A Survey of Satisfiability Modulo Theory 2017-02-10 1 / 48 STATOR SMT = SAT + theories SAT =

521 views • 48 slides

Proofs that, proofs why, and the analysis of paradoxes To Gerhard, on your 60th birthday Peter

Proofs that, proofs why, and the analysis of paradoxes To Gerhard, on your 60th birthday Peter Schroeder-Heister Universit at T ubingen J agerfest Bern, 13.12.2013 p. 1 Russells antinomy in naive set theory Extend natural

688 views • 41 slides

Deciding satisfiability problems by rewrite-based deduction: Experiments in the theory of arrays

Deciding satisfiability problems by rewrite-based deduction: Experiments in the theory of arrays Maria Paola Bonacina, Dept. of Computer Science, U. Iowa, USA Soon: Dip. Informatica, Universit degli Studi di Verona, Italy Joint work with:

496 views • 35 slides

MA/CSSE 474 Theory of Computation Proofs of several things (as much as we have time for) Your

3/19/2018 MA/CSSE 474 Theory of Computation Proofs of several things (as much as we have time for) Your Questions? Previous class days' HW5 problems material Tuesday's Exam Reading Assignments Anything else 1

124 views • 11 slides

The Satisfiability Problem [HMU06,Chp.10b] Satisfiability (SAT) Problem Cooks

The Satisfiability Problem [HMU06,Chp.10b] Satisfiability (SAT) Problem Cooks Theorem: An NP-Complete Problem Restricted SAT: CSAT, k-SAT, 3SAT 1 Satisfiability (SAT) Problem 2 Boolean Expressions Boolean, or

727 views • 57 slides

IMHOTEP-SMT: A Satisfiability Modulo Theory Solver For Secure State Estimation Yasser Shoukry 1

IMHOTEP-SMT: A Satisfiability Modulo Theory Solver For Secure State Estimation Yasser Shoukry 1 Pierluigi Nuzzo 2 , Alberto Puggelli 2 , Alberto Sangiovani-Vincentelli 2 , Sanjit A. Seshia 2 , Mani Srivastava 1 , and Paulo Tabuada 1 1 EE Department

1.12k views • 91 slides

On the Theory and Practice of Privacy-Preserving Bayesian Data Analysis James Foulds,* Joseph

On the Theory and Practice of Privacy-Preserving Bayesian Data Analysis James Foulds,* Joseph Geumlek,* Max Welling, + Kamalika Chaudhuri* + University of Amsterdam *University of California, San Diego Overview Bayesian Privacy-preserving

878 views • 75 slides

Satisfiability Warsaw lectures V.W. Marek Department of Computer Science University of Kentucky

Satisfiability Satisfiability Warsaw lectures V.W. Marek Department of Computer Science University of Kentucky October 2013 1 / 1 Satisfiability What it is about? Satisfiability is a popular logic-based formalism to represent

1.52k views • 135 slides

Model theory of measure-preserving group actions Todor Tsankov (joint with Toms Ibarluca)

Model theory of measure-preserving group actions Todor Tsankov (joint with Toms Ibarluca) Universit Paris Diderot Paris 7 Model theory, Bdlewo We identify The basic setup of ergodic theory if . Thus becomes a (complete) metric

611 views • 40 slides

General motivations Model theory Recursion theory Lambda calculus Set theory

A N INTERACTIVE SEMANTICS FOR CLASSICAL PROOFS Michele Basaldella JAIST February 19, 2013 I NTRODUCTION General motivations Model theory Recursion theory Lambda calculus Set theory Lattice theory Domain theory . . .

995 views • 57 slides

The Proof-Search Problem (between bdd-width resolution and bdd-degree semi-algebraic proofs)

The Proof-Search Problem (between bdd-width resolution and bdd-degree semi-algebraic proofs) Albert Atserias Universitat Polit` ecnica de Catalunya Barcelona, Spain Satisfiability Example : 15 variables and 40 clauses x 1 x 2 x 6 x 1

1.16k views • 88 slides

Proofs, Continued Today Proofs : A style guide Proofs should be easy to

Euclid (300 BC) Proofs, Continued Today Proofs : A style guide Proofs should be easy to verify. All the cleverness goes into finding/writing the proof, not reading/verifying it! P vs. NP (informally) : P =

682 views • 21 slides

Satisfiability modulo theory David Monniaux CNRS / VERIMAG October 2017 1 / 182 Schedule

Satisfiability modulo theory David Monniaux CNRS / VERIMAG October 2017 1 / 182 Schedule Introduction Propositional logic First-order logic Applications Beyond DPLL(T) Qvantifier elimination Interpolants 2 / 182 Who I am David

2.35k views • 197 slides

Welcome to PROOFS! PROOFS: Security Proofs for Embedded Systems Introduction to the fifth

Welcome to PROOFS! PROOFS: Security Proofs for Embedded Systems Introduction to the fifth workshop Introduction to the workshop PROOFS: Security Proofs for Embedded Systems UCSB August 20, 2016 5th edition of PROOFS PROOFS 2012:

311 views • 7 slides

Proofs by example Benjamin Matschke Boston University Number Theory Seminar Harvard, Oct. 2019

Proofs by example Benjamin Matschke Boston University Number Theory Seminar Harvard, Oct. 2019 P ROOFS BY EXAMPLE Proofs by example P ROOFS BY EXAMPLE To prove a general statement by verifying it for a single example. P ROOFS BY EXAMPLE

971 views • 50 slides