7 Axiom system for PITL with finite time

⊢ Substitution instances of conventional (nonmodal) tautologies Taut
⊢ (f ⌢ g) ⌢ h ≡ f ⌢ (g ⌢ h) FChopAssoc
⊢ (f0 ∨ f1) ⌢ g ⊃ (f0 ⌢ g) ∨ (f1 ⌢ g) FOrChopImp
⊢ f ⌢ (g0 ∨ g1) ⊃ (f ⌢ g0) ∨ (f ⌢ g1) FChopOrImp
⊢ empty ⌢ f ≡ f FEmptyChop
⊢ f ⌢ empty ≡ f FChopEmpty
⊢ w ⊃ w FStateImpBf
⊢ (f0 ⊃ f1) ∧ (g0 ⊃ g1) ⊃ (f0 ⌢ g0) ⊃ (f1 ⌢ g1) FBfAndBoxImpChopImpChop
⊢ f⋆ ≡empty ∨ (f ∧more) ⌢ f⋆ FChopStarEqv
⊢ f ⊃ f FNextImpWeakNext
⊢ f ∧ (f ⊃ f) ⊃ f FBoxInduct
⊢ f ⊃ g, ⊢ f ⇒ ⊢ g FMP
⊢ f ⇒ ⊢ f FBfGen
⊢ f ⇒ ⊢ f FBoxGen

2024-08-03
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