Abstract: As is already known from the work of D. Janin & I. Walukiewicz (1996), the mu-calculus is as expressive as the bisimulation-invariant fragment of monadic second-order logic. In this paper, ...

Abstract: We study the problem of determining a concise, quantifier-free monadic predicate for a given set of objects in a given interpretation. We address both DNF and CNF predicates, as well as ...

Formation rules Induction on formula complexity Semantic methods: Truth tables, partial truth tables, trees Reading: Lemmon pp 41-49, 64-74 Validity in virtue of quantifier structure Elementary ...

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We present a new, completely redesigned, version of F*, a language that works both as a proof assistant as well as a general-purpose, verification-oriented, effectful programming language. In support ...

From first-order monadic predicate calculus to polyadic predicate calculus with identity. Symbolization, rules of inference, derivation and refutation of arguments. Introduction to modal logics.

We present a new, completely redesigned, version of F*, a language that works both as a proof assistant as well as a general-purpose, verification-oriented, effectful programming language. In support ...

CONJECTURES: (A) Δ_Ω equals saddle energy for general quartic+quadratic E; (B) stacking preserves universal flow and additivity of Δ; (C) lattice-gauge replacement of E preserves monadic 2-phase ...

Logic is among the oldest and most foundational of the university disciplines. The goal is to equip students with most general possible framework for sound and rigorous reasoning — one that works ...