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<p>In both mathematical and philosophical logic, one of the most well-known and well-studied non-classical, many-valued logics is Łukasiewicz logic. In this paper, we extend infinite-valued Łukasiewicz logic with fixed-point operators and present a natural axiomatisation. Metalogical results such as soundness and completeness are proved for this logic.</p>

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A Note on Fixed Points in Łukasiewicz Logic

  • 期刊论文

  • 发表日期：

    2025年11月4日

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  • Abhishek De

摘要

In both mathematical and philosophical logic, one of the most well-known and well-studied non-classical, many-valued logics is Łukasiewicz logic. In this paper, we extend infinite-valued Łukasiewicz logic with fixed-point operators and present a natural axiomatisation. Metalogical results such as soundness and completeness are proved for this logic.