Ida has a feature which generates pseudo code from assembly.
Is there a tool under Linux that make the same job, from objdump output for example ?
IDA generates C-like pseudo code from object code. That is, the input to the decompiler is object code - not assembly language, which is represented in ASCII - and the output is a high-level language approximation.
Note that assembly language is a human-readable mnemonic representation of object code operation codes (opcodes) and operands.
Since decompilation is a major technical challenge, no Linux utilities have been developed to accomplish decompilation.