Meditation for a Theorem Prover
Reasoning and Consciousness Teaching a Theorem Prover to let its Mind Wander Ulrich Furbach Claudia Schon Univ. Koblenz - DFG Project ‚Cognitive Reasoning‘
Reasoning and Consciousness Teaching a Theorem Prover to let its Mind Wander Ulrich Furbach Claudia Schon Univ. Koblenz - DFG Project ‚Cognitive Reasoning‘
Reasoning and Consciousness Teaching a Theorem Prover to let its Mind Wander Ulrich Furbach Claudia Schon Univ. Koblenz - DFG Project ‚Cognitive Reasoning‘
My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. COPA Benchmarks
My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. COPA Benchmarks Boxer
My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. COPA Benchmarks Boxer ∃ A, B (( n 1 grass ( A ) ∧ n 1 sun ( B )) ∧ ∃ C, D, E (( r 1 over ( C, A ) ∧ ( r 1 Theme ( C, D ) ∧ ( r 1 Actor ( C, E ) ∧ ( v 1 cast ( C ) ∧ ( n 1 shadow ( D ) ∧ ( n 1 body ( E ) ∧ ( r 1 of ( E, D ) ∧ n 1 person ( D )))))))) ∧ ∃ F (( r 1 Actor ( F, B ) ∧ v 1 rise ( F )) ∧ ∃ G ( r 1 Theme ( G, A ) ∧ v 1 cut ( G )))))
ç √ ç √ ç √ ç √ ç ç ç ç ç √ FO-representation √ Background √ √ √ ç ç √ of COPA problem: ç √ Knowledge: √ ç √ ∃ A, B (( n 1 grass ( A ) ∧ n 1 sun ( B )) ∧ ∃ C, D, E (( r 1 over ( C, A ) ∧ ( r 1 Theme ( C, D ) ∧ ( r 1 Actor ( C, E ) ∧ ( v 1 cast ( C ) ∧ ( n 1 shadow ( D ) ∧ v 1 cast ( D ) ( n 1 body ( E ) ∧ ( r 1 of ( E, D ) ∧ n 1 person ( D )))))))) ∧ OpenCyc ∃ F (( r 1 Actor ( F, B ) ∧ v 1 rise ( F )) ∧ ∃ G ( r 1 Theme ( G, A ) ∧ v 1 cut ( G ))))) project ( X )
Bridging Formulae ∀ X ( v 1 cast ( X ) ↔ project ( X )) WordNet FO-representation Background of COPA problem: Knowledge: ∃ A, B (( n 1 grass ( A ) ∧ n 1 sun ( B )) ∧ ∃ C, D, E (( r 1 over ( C, A ) ∧ ( r 1 Theme ( C, D ) ∧ ( r 1 Actor ( C, E ) ∧ ( v 1 cast ( C ) ∧ ( n 1 shadow ( D ) ∧ v 1 cast ( D ) ( n 1 body ( E ) ∧ ( r 1 of ( E, D ) ∧ n 1 person ( D )))))))) ∧ OpenCyc ∃ F (( r 1 Actor ( F, B ) ∧ v 1 rise ( F )) ∧ ∃ G ( r 1 Theme ( G, A ) ∧ v 1 cut ( G ))))) project ( X )
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) q ( a, x )) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) q ( a, x )) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) p ( x, y ) q ( f ( x, b ) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } p ( a, y ) q ( f ( a ) , b ) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } p ( a, y ) q ( f ( a ) , b ) → dom ( a ) dom ( a ) → dom ( f ( a )) branches can be considered no backtracking isolated - equality handling!
Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } p ( a, y ) q ( f ( a ) , b ) → dom ( a ) dom ( a ) → dom ( f ( a )) branches can be considered no backtracking isolated - equality handling!
My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. What is `closer´ to a logical consequence? a) or b)? ML a)! Hyper Tableau
Chinese Room - John Searl Thomas Metzinger Postbiotic consciousness
Bernhard Baars • Global Workspace Theorie • Theatre metapher
Bernhard Baars • Global Workspace Theorie • Theatre metapher • Consciousness is a gateway to vast domains of knowledge and control • we can create access to any part of the brain using consciousness
Bernhard Baars • Global Workspace Theorie • Theatre metapher • Consciousness is a gateway to vast domains of knowledge and control • we can create access to any part of the brain using consciousness „Consciousness may be considered as the gateway to these unconscious sources of knowledge.“
Bernhard Baars • Global Workspace Theorie • Theatre metapher • Consciousness is a gateway to vast domains of knowledge and control • we can create access to any part of the brain using consciousness „Consciousness may be considered as the gateway to these unconscious sources of knowledge.“ „This is ostensibly based on GWT, but the idea is easily understood without the psycho-babble. The work is very suitable for the AITP workshop.“
From: https://www.slideshare.net/alfredoarmella/global-workspace-theory-tutorial
FOL Formula
Selection process: WordNet ConceptNet FOL Formula Cyc SInE
Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge
Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper
Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper
Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper Ground Instances
Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances
Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper … Hyper’s current thoughts Ground Instances
First Experiments
First Experiments
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