swMATH ID: 32245
Software Authors: André Platzer
Description: Differential Game Logic. This formalization provides differential game logic (dGL), a logic for proving properties of hybrid game. In addition to the syntax and semantics, it formalizes a uniform substitution calculus for dGL. Church’s uniform substitutions substitute a term or formula for a function or predicate symbol everywhere. The uniform substitutions for dGL also substitute hybrid games for a game symbol everywhere. We prove soundness of one-pass uniform substitutions and the axioms of differential game logic with respect to their denotational semantics. One-pass uniform substitutions are faster by postponing soundness-critical admissibility checks with a linear pass homomorphic application and regain soundness by a variable condition at the replacements. The formalization is based on prior non-mechanized soundness proofs for dGL.
Homepage: https://www.isa-afp.org/entries/Differential_Game_Logic.html
Related Software: KeYmaera; Bellerophon; Archive Formal Proofs; Transformer semantics; Quantales; KeYmaera X; KAD; Algebraic_VCs; Kleene Algebra; Ordinary Differential Equations; Coquelicot; C-CoRN; RODAS; Isabelle/HOL
Cited in: 3 Documents

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