B-systems

B-systems
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B系统

DOI:
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发表时间:
2014
期刊:
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通讯作者:
Vladimir Voevodsky
Vladimir Voevodsky
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文献类型:
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作者:
Vladimir Voevodsky

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b系统是一个本质代数理论的代数(模型),它被期望与c系统的本质代数理论具有构造等价,而c系统又与语境范畴理论具有构造等价。b系统理论在其形式上更接近于直接由语境和(依赖的)类型理论的类型判断建模的结构,并且比语境范畴和c系统更远离范畴。
B-systems are algebras (models) of an essentially algebraic theory that is expected to be constructively equivalent to the essentially algebraic theory of C-systems which is, in turn, constructively equivalent to the theory of contextual categories. The theory of B-systems is closer in its form to the structures directly modeled by contexts and typing judgements of (dependent) type theories and further away from categories than contextual categories and C-systems.