3 results
Dariusz Biernacki ; Piotr Polesiuk.
A coercion semantics of a programming language with subtyping is typically defined on typing derivations rather than on typing judgments. To avoid semantic ambiguity, such a semantics is expected to be coherent, i.e., independent of the typing derivation for a given typing judgment. In this article […]
Published on January 30, 2018
Dariusz Biernacki ; Serguei Lenglet ; Piotr Polesiuk.
Normal-form bisimilarity is a simple, easy-to-use behavioral equivalence that relates terms in $\lambda$-calculi by decomposing their normal forms into bisimilar subterms. Moreover, it typically allows for powerful up-to techniques, such as bisimulation up to context, which simplify bisimulation […]
Published on March 29, 2019
Dariusz Biernacki ; Sergueï Lenglet ; Piotr Polesiuk.
We present a comprehensive study of the behavioral theory of an untyped $\lambda$-calculus extended with the delimited-control operators shift and reset. To that end, we define a contextual equivalence for this calculus, that we then aim to characterize with coinductively defined relations, called […]
Published on May 24, 2019