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.
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References in zbMATH (referenced in 3 articles )
Showing results 1 to 3 of 3.
- Huerta y Munive, Jonathan Julián; Struth, Georg: Predicate transformer semantics for hybrid systems. Verification components for Isabelle/HOL (2022)
- Platzer, André: Uniform substitution for differential game logic (2018)
- Platzer, André: Differential game logic (2015)