Relational Semantics of Loops

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Concurrency Semantics and Verification

Explores concurrency semantics, recursive functions, loops, interleaving modeling, and interpreter verification.

Lambda Calculus: Church Numerals

Explores Church numerals, Booleans, pairs, recursion, and behavioral equivalence in Lambda Calculus.

Monotonicity and Semantics of Local Variables

Explores properties of relations, monotonicity, semantics of local variables, and translation in programs.

Operational Semantics: Amyli Language

Covers the Amyli language, including abstract syntax, program representation, and operational semantics.

High-Level Synthesis: Formally Verified Elastic Circuits

Presents the development of a verified high-level synthesis compiler for elastic circuits.

An Introduction to Iris: Higher-Order Concurrent Separation Logic

Introduces Iris, a logical framework for reasoning about safety and correctness of concurrent higher-order imperative programs, emphasizing its unique characteristics and applications.

Automating First-Order Logic Proofs Using Resolution

Covers first-order logic syntax, semantics, Skolemization, resolution, and normal form transformations.

Variables & Operators

Covers the basics of C programming, including variables, operators, and system-oriented programming, emphasizing differences from Java.

Presburger Arithmetic and Quantifier Elimination

Covers Presburger arithmetic, quantifier elimination, and the transformation of formulas into disjunctive normal form.

Inductive Propositions: Reasoning and Evaluation Techniques

Discusses inductive propositions, their definitions, and applications in reasoning and evaluation techniques in Coq.