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A Hoare logic for the coinductive trace-based big-step semantics of While

Keiko Nakata ; Tarmo Uustalu.

In search for a foundational framework for reasoning about observable behavior of programs that may not terminate, we have previously devised a trace-based big-step semantics for While. In this semantics, both traces and evaluation (relating initial states of program runs to traces they produce) are&nbsp;[&hellip;]

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On streams that are finitely red

Marc Bezem ; Keiko Nakata ; Tarmo Uustalu.

Mixing induction and coinduction, we study alternative definitions of streams being finitely red. We organize our definitions into a hierarchy including also some well-known alternatives in intuitionistic analysis. The hierarchy collapses classically, but is intuitionistically of strictly decreasing&nbsp;[&hellip;]

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